Question

A syringe of diameter D = 8mm and having a nozzle of diameter d = 2 mm is placed horizontally at a height of 1.25 m as shown in the figure. An incompressible and non-viscous liquid is filled in syringe and the piston is moved at speed of 0.25 m/s. Find the range of liquid jet on the ground.

Answer 1

$A_1{V}_1=A_2{V}_2$

$\Rightarrow \pi {\left(\frac{8}{2}\right)}^2\times 0.25=\pi {\left(\frac{2}{2}\right)}^2\times V_2$

$\Rightarrow V_2=\frac{4^2}{2^2}\times \frac{1}{4}=4m/s$.

Range $=\frac{h}{g}\times v$

$=\frac{1025}{10}\times 4m$

$=\frac{5}{10}=0.5m$